Conservation of Linear Momentum

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SUMMARY

The discussion focuses on the conservation of linear momentum in a collision scenario involving a ball impacting the ground at a velocity of 45 m/sec at an 80-degree angle and rebounding at a 58-degree angle. The participant questions whether the x-component of the velocity remains unchanged during the collision, assuming negligible air resistance. The consensus is that, under these conditions, the x-component of the velocity before and after the collision is indeed the same, affirming the principle of conservation of momentum in the horizontal direction.

PREREQUISITES
  • Understanding of linear momentum and its conservation principles
  • Familiarity with the coefficient of restitution in elastic and inelastic collisions
  • Basic knowledge of vector components in physics
  • Concept of angles in projectile motion
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  • Study the concept of the coefficient of restitution and its impact on collision outcomes
  • Learn about vector decomposition in two-dimensional motion
  • Explore the principles of elastic and inelastic collisions in detail
  • Investigate the effects of air resistance on projectile motion
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Homework Statement



There is a ball that's going 45 m/sec and it's hitting the ground at an 80 degree angle, but when it bounces off, it has a 58 degree angle. The coefficient of restitution is not known.


Homework Equations





The Attempt at a Solution



I'm just wondering, but is the x-component of the velocity the same before the collision as afterwards if the x-axis is the ground?
 
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With negligible air resistance, I'd say yes.
 

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